SOLUTION: write and equation for the line going through the points (2,3) and (4,-2)

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Question 390244: write and equation for the line going through the points (2,3) and (4,-2)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,        

Using the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept. 

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29 to determine the slope

(2,3) and (4,-2)

 m = -2-3  / 4-2  = -5/2

y = (-5/2)x + b  Using ordered pair pt(2,3) to solve for b

3 = -5 + b

8 = b

y = (-5/2)x + 8